* please help 20 points !! * which statement can be proved if you are given that SK≌LR?

Mathematics

2 answers:

SOVA2 [1]3 years ago

6 0

I believe it would be D) ST ≈ TR

Gekata [30.6K]3 years ago

6 0

A is the correct answer.

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Answer:

The probability of the spinner landing on 2 is one fourth.

Step-by-step explanation:

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Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
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Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
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2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
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